| 一类新预条件下AOR迭代法收敛性的讨论 |
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| 引用本文： | 雷刚,王慧勤.一类新预条件下AOR迭代法收敛性的讨论[J].安徽大学学报(自然科学版),2007,31(3):1-4. |
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| 作者姓名： | 雷刚 王慧勤 |
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| 作者单位： | 宝鸡文理学院,数学系,陕西,宝鸡,721013;宝鸡文理学院,数学系,陕西,宝鸡,721013 |
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| 基金项目： | 国家自然科学基金资助项目(10071048) |
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| 摘 要： | 对AOR迭代法解线性方程组,讨论在一类新的预条件下AOR迭代法收敛性的加速,证明在非奇异M-矩阵下该预条件加速AOR迭代法的收敛性,而在非奇异不可约M-矩阵下能严格加速AOR迭代法的收敛性.最后给出一个例子说明该预条件要优于通常的预条件(I+S).
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| 关 键 词： | 预条件 收敛性 非奇异M-矩阵 AOR迭代法 |
| 文章编号： | 1000-2162（2007）03-0001-04 |
| 修稿时间： | 2006-10-19 |
Convergence of the AOR iterative method for a new preconditional linear system |
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| LEI Gang,WANG Hui-qin.Convergence of the AOR iterative method for a new preconditional linear system[J].Journal of Anhui University(Natural Sciences),2007,31(3):1-4. |
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| Authors: | LEI Gang WANG Hui-qin |
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| Institution: | Department of Mathematics,Baoji University of Arts and Sciences, Baoji 721013, China |
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| Abstract: | In the AOR iterative method for the solution of the linear system,a new preconditioning iterative provide a convergence theorem of this method,it improves some recent result.If the matrices is a nonsingular M-matrix,the convergence for the AOR iterative method of precondition is better than it of the linear system,if a matrices is a irreducibly nonsingular M-matrix,the convergence is strictly accelerated.Then the numerical example is given,explain the precondition iterative method is better than(I S). |
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| Keywords: | precondition convergence nonsingular M-matrix AOR method |
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